La ejemplificación del concepto de función: diferencias entre profesores noveles y profesores expertos
Tipo de documento
Lista de autores
Figueiredo, Carlos Alberto, Contreras, Luis Carlos y Blanco, Lorenzo Jesús
Resumen
La forma como los profesores usan los ejemplos con sus alumnos viene asumiendo una importancia cada vez mayor en la investigación matemática. En particular, se ha sugerido que, a través de los ejemplos empleados en clase, podemos observar algunos aspectos del conocimiento del profesor. Comparar la forma de enseñar entre profesores noveles y profesores expertos no es un tema nuevo. Sin embargo, contrastar componentes del conocimiento matemático para la enseñanza entre unos y otros, sobre la base de la ejemplificación empleada en sus clases con sus alumnos, es una perspectiva nueva en el ámbito de la investigación matemática.
Fecha
2012
Tipo de fecha
Estado publicación
Términos clave
Conocimiento | Empírica | Estatus | Funciones
Enfoque
Idioma
Revisado por pares
Formato del archivo
Referencias
Abdul-Rahman, S. (2006).”Probing Understanding Through Example Construction: The case of Integration”. En D. Hewitt (ed.), Proceedings of the British Society for Research into Learning Mathematics, 26(2), 1-6. Londres: BSRLM. Atkinson, R., Derry, S., Renkl, A. y Wortham, D. (2000). “Learning from examples: Instructional principles from the worked examples research”. En Review of Educational Research, 70(2), 181-214. Ball, D.L., Thames, M.H. y Phelps, G. (2008). “Content knowledge for teaching: What Makes it Special?”. En Journal of Teacher Education, 59(5), 389-407. Bills, C. y Bills, L. (2005). “Experienced and Novice Teachers’ Choice of Examples”, en P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McdDonough, R. Pierce y A. Roche (Eds.), Proceedings of Twenty eight annual conference of the Mathematics Education Research Group of Australasia, (1), 146-153. Melbourne, Australia: MERGA. Bills, L., Dreyfus, T., Mason, J., Tsamir, P., Watson, A. y Zaslavsky, O. (2006). “Exemplification in Mathematics Education”, en J. Novona, H. Moraová, M. Krátká y N. Stehlíková (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, (1), 126-154. Prague, Czech Republic: PME. Bills, L. y Watson, A. (2008). “Editorial introduction”. En Educational Studies in Mathematics, 69(2), 77-79. Figueiredo, C. A. (2005). "Os exemplos utilizados por professores estagiários quando ensinam o conceito de Função", Memoria de Proyecto de Investigación de Doctorado, Departamento de Didáctica de las Ciencias Experimentales y de las Matemáticas, Universidad de Extremadura, España. Figueiredo, C. A. (2010). "Los Ejemplos en Clase de Matemáticas de Secundaria como Referente del Conocimiento Profesional." Tesis Doctoral no publicada. Departamento de Didáctica de las Ciencias Experimentales y de las Matemáticas, Universidad de Extremadura, España. Hill, H.C., Rowan, B., y Ball, D. (2005). “Effects of teachers’ mathematical knowledge for teaching on student achievement”, American Educational Research Journal, 42(2), 371– 406 Huckstep, P., Rowland, T. y Thwaites, A. (2002). “Primary Teachers’ Mathematics Content Knowledge: What does it look like in the Classroom?”. Proceedings of BERA Conference. Exeter, BERA. Karaagaç, M. K. (2005). “Differences in teachers’ selection and use of examples in classrooms: an institutional perspective on teacher practice”. En D. Hewitt (ed.), Proceedings of the British Society for Research into Learning Mathematics, 25(2), 43-48. Milton Keynes, UK: BSRLM. Mochón, S. y Morales, M. (2010). “En qué consiste el ‘conocimiento matemático para la enseñanza’ de un profesor”. En Educación Matemática, 22(1), 87-113. Muir, T. (2007). “Setting a good example: Teachers’ choice of examples and their contribution to effective teaching of numeracy”, en J. Watson & K. Beswick (eds.), Mathematics: Essential research, essential practice. Proceedings of Twenty eight annual conference of the Mathematics Education Research Group of Australasia, 2, 513-522. Melbourne, Australia: MERGA Renkl, A. (2002) “Worked-out examples: Instructional explanations support learning by selfexplanations”. En Learning and Instruction, 12, 529–556. Rissland-Michener, E. (1978). “Understanding understanding mathematics”, en Cognitive Science, 2, 361-383. Rowland, T., Huckstep, P. y Thwaites, A. (2003). “The Knowledge Quartet”, en J. Williams (Ed.), Proceedings of the British Society for Research into Learning Mathematics, 23(3), 97-102. Birmingham, BSRLM. Rowland, T., Huckstep, P. y Thwaites, A. (2005). “Elementary teachers’ mathematics subject matter knowledge: The Knowledge Quartet and the case of Naomi”. En Journal of Mathematics Teacher Education, 8(3), 255-281. Rowland, T. y Zaslavsky, O. (2005). “Pedagogical Example-Spaces”, Notes for the mini-conference on Exemplification in Mathematics, Oxford University, Oxford, England. Shulman, L.S. (1986). “Those who understand, knowledge growth in teaching”. En Educational Researcher 15(2), 4-14. Shulman, L. S. (1987). “Knowledge and teaching: Foundations of a new reform”. En Harward Educational Review, 57(1), 1-22. Skemp, R. R. (1979). Intelligence, learning and action, Chichester, Wiley. Sowder, L. (1980). “Concept and principle learning”. En R. Shumway (Ed.), Research in Mathematics Education , 244-285. Reston, VA, USA, NCTM. Strauss, A. y Corbin, J. (1990). Basics of qualitative research, London, Sage. Tall, D. y Vinner, S. (1981) “Concept image and concept definition in mathematics with particular reference to limits and continuity”. En Educational Studies in Mathematics, 12, 151-169. Tsamir, P., Tirosh, D. y Levenson, E. (2008). “Intuitive nonexamples: the case of triangles”. En Educational Studies in Mathematics, 69, 81-95. Vinner, S. (1983). “Concept image, concept definition and the notion of function”. En International Journal of Mathematics Education in Science and Technology, 14(3), 293- 305. Vinner, S. (1991). “The role of definitions in the teaching and learning of mathematics”. En D. O. Tall (Ed.), Advanced mathematical thinking, Dordrecht, The Netherlands, Kluwer Academic Publishers. Watson, A. y Mason, J. H. (2002). “Extending example spaces as a learning/teaching strategy in mathematics”. En A. Cockburn y E. Nardi (Eds.), Proceedings of the 26th Conference of the International Group for the Psychology of Mathematics Education, 4, 377. University of East Anglia, Norwich, UK, PME. Watson, A. y Mason, J. H. (2005). Mathematics as a constructive activity: Learners generating examples, Mahwah, NJ, USA, Lawrence Erlbaum Associates. Watson, A. y Chick, H. (2011). “Qualities of examples in learning and teaching”, ZDM Mathematics Education, 43, 283- 294. Zaslavsky, O. (2008). “What knowledge is involved in choosing and generating useful instructional examples?”, Paper submitted to WG2 of the Symposium for celebration of the centennial of ICMI. Rome, Italy, ICMI. Zaslavsky, O. y Peled, I. (1996). “Inhibiting factors in generating examples by mathematics teachers and student-teachers: The case of binary operation”. En Journal for Research in Mathematics Education, 27, 67-78. Zaslavsky, O., Harel, G. y Manaster, A. (2006). “A teacher’s treatment of examples as reflection of her knowledge-base”. En J. Novotná, H. Moraová, M. Krátká, y N. Stehlíková (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, 5, 457–46. Prague, Czech Republic, PME. Zazkis, R. y Chernoff, E. (2008). “What makes a counterexample exemplary?”. En Educational Studies in Mathematics, 68,195-208. Zazkis, R. y Leikin, R. (2008). “Exemplifying definitions: a case of squares”, en Educational Studies in Mathematics, 69, 131-148. Zodik, I. y Zaslavsky, O. (2007). “Exemplification in the mathematics classroom: what is it like and what does it imply?”, Paper presented at the 5th Conference of the European Society for Research in Mathematics Education (CERME5) Larnaka, Cyprus, ERME. Zodik, I. y Zaslavsky, O. (2008). “Characteristics of teachers’ choice of examples in and for the mathematics classroom”, en Educational Studies in Mathematics, 69(2),165-182.